Results of direct numerical simulation of the model (1) in the two-parameter plane of the phase lag \(\alpha \)  and coupling strength \(\mu \)  are presented in Fig.1. Fig.1(a) reveals the appearance of numerous chimera islands scattered through the parameter plane. Chimeras in the islands are characterized by two phase-locked and one drifting oscillators, thus satisfying the condition of a weak chimera state [1]}. The islands are surrounded in the parameter plane by traveling and chaotic switching waves as shown at enlargement in Fig.1(b). They arise in a saddle-node bifurcation, which is different from the standard all-to-all coupled Kuramoto model with inertia, where it is in a homoclinic bifurcation [2]}, [3]}.
